Curtate Cycloid
The path traced out by a fixed point at a Radius 
, where 
is the Radius of a rolling Circle,sometimes also called a Contracted Cycloid.
 |  |  | (1) |
 | |  | (2) |
The Arc Length from
is | (3) |
 | (4) |
 | (5) |
is a complete Elliptic Integral of the Second Kind and 
is aJacobi Elliptic Function.See also Cycloid, Prolate Cycloid
References
Cundy, H. and Rollett, A. Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., 1989. Wagon, S. Mathematica in Action. New York: W. H. Freeman, pp. 46-50, 1991.
- Inverse Hyperbolic Sine
- Inverse Hyperbolic Tangent
- Inversely Similar
- Inverse Matrix
- Inverse Points
- Inverse Quadratic Interpolation
- Inverse Scattering Method
- Inverse Secant
- Inverse Semigroup
- Inverse Sine
- Inverse Tangent
- Inverse Trigonometric Functions
- Inversion
- Inversion Center
- Inversion Circle
- Inversion Operation
- Inversion Radius
- Inversive Distance
- Inversive Geometry
- Inverted Funnel
- Inverted Snub Dodecadodecahedron
- Invertible Knot
- Involuntary
- Involute
- Involution (Group)